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Finding the Fourth Proportional to 5,008, 6,911.10 and 2,770.06

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Solution

The fourth proportional to 5,008, 6,911.10 and 2,770.06 is: 3,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,008 : 6,911.10 = 2,770.06 : x
  2. Step 2: Convert to fraction form
    5,008/6,911.10 = 2,770.06/x
  3. Step 3: Cross multiply
    5,008x = 6,911.10 × 2,770.06
  4. Step 4: Simplify right side
    5,008x = 19,144,161.67
  5. Step 5: Solve for x
    x = 19,144,161.67/5,008
  6. Step 6: Final answer
    x = 3,822.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.